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Finding the Third Proportional to 91,850 and 198,388

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Solution

The third proportional to 91,850 and 198,388 is: 428,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,850 : 198,388 = 198,388 : x
  2. Step 2: Convert to fraction form
    91,850/198,388 = 198,388/x
  3. Step 3: Cross multiply
    91,850x = 198,388 × 198,388
  4. Step 4: Simplify right side
    91,850x = 39,357,798,544
  5. Step 5: Solve for x
    x = 39,357,798,544/91,850
  6. Step 6: Final answer
    x = 428,500.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.